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Simplifying 47 = 3(w + 7) Reorder the terms: 47 = 3(7 + w) 47 = (7 * 3 + w * 3) 47 = (21 + 3w) Solving 47 = 21 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 47 + -3w = 21 + 3w + -3w Combine like terms: 3w + -3w = 0 47 + -3w = 21 + 0 47 + -3w = 21 Add '-47' to each side of the equation. 47 + -47 + -3w = 21 + -47 Combine like terms: 47 + -47 = 0 0 + -3w = 21 + -47 -3w = 21 + -47 Combine like terms: 21 + -47 = -26 -3w = -26 Divide each side by '-3'. w = 8.666666667 Simplifying w = 8.666666667
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